Graphing Linear Functions in Standard Form

a

An intercept is a point at which the line crosses an axis. Like any other point in the coordinate plane, an intercept consists of a coordinate pair,

(x, y) .

At the

x -

intercept, the

y -

value is

0 .

Similarly, at the

y -

intercept, the

x -

value is

0 .

$x - intercept : (x, 0) y - intercept : (0, y)$ In this exercise, we are told that the $x -$ intercept is $4,$ and the $y -$ intercept is $2 .$ We can use this information to create two coordinate pairs. $x - intercept : (4, 0) y - intercept : (0, 2)$ To graph the line of an equation with these intercepts, we will plot the points and connect them with a line.

b

To graph the line, we'll form two points from the intercepts. The

x

-intercept always has the

y

-coordinate

0

and the

y

-intercept has the

x

-coordinate

0 .

$x - intercept : (x, 0) y - intercept : (0, y)$ In this exercise, we are told that the $x -$ intercept is $1.5,$ and the $y -$ intercept is $- 1 .$ We can use this information to create two coordinate pairs. $x - intercept : y - intercept : (1.5, 0) (0, - 1)$ To graph the line of an equation with these intercepts, we'll mark the coordinates as points in a coordinate plane and draw a line through them.

Graphing Linear Functions in Standard Form 1.1 - Solution